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On Hyperbolic Type Involutions
Paoluzzi, Luisa
2001
Abstract
We give a bound on the number of hyperbolic knots
which are double covered by a fixed (non hyperbolic) manifold in
terms of the number of tori and of the invariants of the Seifert
fibred pieces of its Jaco-Shalen-Johannson decomposition. We
also investigate the problem of finding the non hyperbolic knots
with the same double cover of a hyperbolic one and give several
examples to illustrate the results.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Luisa Paoluzzi, "On hyperbolic type involutions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 221–256.
Languages
en
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